Coordinate Geometry Question 77
Question: The coordinates of the point dividing internally the lines joining the points (4, -2) and (8, 6) in the ratio 7 : 5 will be
[AMU 1979; MP PET 1984]
Options:
A) $ (16,18) $
B) $ (18,16) $
C) $ ( \frac{19}{3},\frac{8}{3} ) $
D) $ ( \frac{8}{3},\frac{19}{3} ) $
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Answer:
Correct Answer: C
Solution:
$ x=\frac{4\times 5+8\times 7}{12}=\frac{19}{3} $ and $ y=\frac{-2\times 5+6\times 7}{12}=\frac{8}{3} $ .